Factoring is the reverse of multiplying. The factors of a trinomial like x² + 7x + 12 are two expressions that multiply to make x² + 7x + 12. This is the same as finding the length and width of a rectangle with area of x² + 7x + 12. So form a rectangle using tiles that represent x² + 7x + 12. Start with the largest tile, x². Next add the seven x tiles around the x² tile. Finally, place 12 unit tiles. If the result does not create a rectangle, rearrange the x tiles and unit tiles. The factors are the length and width of the rectangle, or (x + 4) and (x + 3).
Factoring Trinomials using the Brainingcamp Algebra Tiles virtual manipulative.
Brainingcamp virtual manipulatives can be used anywhere with no setup, cleanup, or lost parts. They are highly effective at engaging today’s digital learners and helping them bringing abstract math concepts to life.
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